Are the following results correct:1. (x+5)(x+2) = x^2 + 7x + 10x. 2. (x-2)(x-2) = x^2 + 4x +4x 3. (x-5)(x+12) = x^2 + 7x 4. (3c-5d)(2c+4d)...

The result of (x + a)(x + b) = x^2 + (a + b)*x +
ab

The correct results for your problems
are:

1. (x+5)(x+2) = x^2 + (5
+ 2)x + (5*2) = x^2 + 7x +
10

2.
(x-2)(x-2) = x^2 + (-2 - 2)x + (-2)*(-2) = x^2 - 4x +
4

3.
(x-5)(x+12) = x^2 + (-5 + 12)x + (-5*12) = x^2 + 7x -
60

4.
(3c-5d)(2c+4d) = 6c^2 + 12 cd - 10cd - 20d^2 = 6c^2 + 2cd -
20d^2

5.
(5x-3)(3x-8) = 15x^2 - 40x - 9x + 24 = 15x^2 - 49x +
24